MinT - Information on Result #1182764

Information on Result #1182764

Digital (13, 20, 67)-net over F₃, using net defined by OOA based on linear OOA(3²⁰, 67, F₃, 9, 7) (dual of [(67, 9), 583, 8]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(3²⁰, 68, F₃, 3, 7) (dual of [(68, 3), 184, 8]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3⁶, 56, F₃, 3, 3) (dual of [(56, 3), 162, 4]-NRT-code), using
    - appending kth column [i] based on linear OOA(3⁶, 56, F₃, 2, 3) (dual of [(56, 2), 106, 4]-NRT-code), using
      - OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(3⁶, 56, F₃, 3) (dual of [56, 50, 4]-code or 56-cap in PG(5,3)), using
        the Hill cap [i]
  2. linear OOA(3¹⁴, 34, F₃, 3, 7) (dual of [(34, 3), 88, 8]-NRT-code), using
    - extracting embedded OOA [i] based on digital (7, 14, 34)-net over F₃, using
      - linear code embedding found in a computer search [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

None.